Question

Chapter 19, Problem 053 Suppose 2.58 mol of an ideal diatomic gas, with molecular rotation but not oscillation, experienced a temperature increase of 61.4 K under constant-pressure conditions. What are (a) the energy transferred as heat Q, (b) the change ΔEit in internal energy of the gas (c) the work done by the gas and (d) the change ΔK in the total translational kinetic energy of the gas? (a) Number (b) Number (c) Number (d) Number Units Units Units ( Units

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Answer #1

f = 4 for this kind of gas.


(A) Q = n cp deltaT

Q = 2.58 (4/2 + 1)(8.314)(61.4)

Q = 3951 J

(B) change in internal energy = n Cp deltaT

= 2.58 x 2 x 8.314 x 61.4

= 2634 J


(C) Work done = n R deltaT

= 2.58 x 8.314 x 61.4

= 1317 J


(d) deltaK = (3/2)n R T

= 1975.5 J

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